CrOS Settings: Avoid changing active page for unrelated section

Improves performance by avoiding unnecessarily changing the active page
for a section if the active route belongs to an unrelated section.

Bug: b:332934644
Change-Id: I7f4803e45836a9d7f73e05ecc167ded2ca3d5c6e
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5426417


Commit-Queue: Wes Okuhara <wesokuhara@google.com>
Reviewed-by: Xiaohui Chen <xiaohuic@chromium.org>
Reviewed-by: Nikki Moteva <moteva@google.com>
Cr-Commit-Position: refs/heads/main@{#1283369}